Statistics & Probability

189 tools · page 3 of 4

• 📊Survey Margin of Error Calculator Calculate the margin of error for a survey proportion based on sample size, expected proportion, and confidence level (90%, 95%, or 99%).
• 📐Triangular Distribution Calculator Evaluates the triangular distribution defined by minimum a, maximum b and mode c, returning the probability density (PDF), cumulative probability (CDF) at x, and the distribution mean.
• 📊Z-Test for Proportions Calculator Computes the one-sample z-statistic for a proportion: z = (p̂ − p₀) / √(p₀(1−p₀)/n), where p̂ is the observed sample proportion.
• 🎰Accumulator Bet Calculator Total odds and payout of a 2-4 leg accumulator (parlay).
• 🎰At Least Once Probability Calculator Probability an event happens at least once over n independent trials.
• 📊Autocorrelation Calculator Computes the sample autocorrelation of a numeric series at a chosen lag, measuring how it relates to its shifted self.
• 🎲Bernoulli Trial Calculator Compute the mean, variance and standard deviation of a single Bernoulli trial with success probability p.
• 💰Bet Profit Calculator Enter your stake and decimal odds to instantly see the total payout and net profit of your bet.
• 🪙Binomial Cumulative Probability Calculator Compute the cumulative binomial probability P(X ≤ k) for n trials with success probability p, plus the exact probability at k and the mean.
• 🎂Birthday Paradox Calculator Probability that at least two people in a group share a birthday.
• 🎲Bookmaker Margin Calculator Calculate the bookmaker margin (overround) hidden in decimal odds for 2-way or 3-way betting markets, and see the fair payout ratio.
• 🃏Card Draw Probability Calculator Uses the hypergeometric distribution to compute the probability of drawing at least, and exactly, a wanted number of target cards from a deck.
• 🔄Circular Permutations Calculator Count the arrangements of n people around a circle: (n−1)!.
• 📈Coefficient of Determination (R²) Calculator Compute R² and the explained-variance percentage from a correlation coefficient.
• 🎯Combinations (nCr) Calculator Calculate nCr, the number of ways to choose r items from a set of n distinct items when order doesn't matter. Enter n and r to get the combination count instantly.
• 🔄Complement Probability Calculator Calculate the probability that an event does not happen.
• 🎲Coupon Collector Calculator Computes the expected number of random draws needed to collect all n distinct items using the coupon collector formula n·Hn, plus the n·ln(n) approximation.
• 📉Covariance Calculator Calculate the sample or population covariance between two paired data sets to see how two variables change together.
• 📐Critical Value Calculator Finds the critical value for the z, Student's t or chi-square distribution at a chosen significance level and tail.
• 📈Cross Correlation Calculator Computes the Pearson cross-correlation between two sequences at a chosen lag.
• 📶Cumulative Frequency Calculator Build the cumulative frequency of a list of class frequencies by adding each to the running total.
• 🎲Drop Rate Probability Calculator Chance of getting at least one drop over many attempts at a given drop rate.
• 🧮Dyck Path Counter Counts the number of Dyck paths of semilength n, which equals the nth Catalan number C(2n,n)/(n+1).
• 📊Frequency Distribution Calculator Group a data set into a chosen number of equal-width classes and count how many values fall in each.
• 📊Friedman Test Calculator Compute the Friedman test statistic from treatment rank sums for repeated-measures data.
• 🎰Gacha Pull Pity Calculator Find how many more pulls and how many gems you need to reach the hard pity in a gacha game.
• 📉Geometric Standard Deviation Calculator Compute the geometric standard deviation and geometric mean of a set of positive values, useful for log-normal data.
• 📚Grouped Data Mean Calculator Compute the mean of grouped data from class midpoints and their frequencies using Σ(f·m)/Σf.
• 📗Grouped Data Standard Deviation Calculator Compute the population standard deviation and variance of grouped data from class midpoints and frequencies.
• 🤝Handshake Calculator Calculate the total handshakes when everyone in a group shakes hands once.
• 🛡️Hedge Bet Calculator Stake needed on the opposite outcome to lock in an equal result.
• 🎲Hitting Time Calculator Computes the expected hitting time of a 1-D random walk to reach state 0 or N from a start position.
• 🃏Hypergeometric Distribution Calculator Compute the probability of drawing exactly k successes in n draws without replacement from a population of size N with K successes.
• 🎲Implied Probability Calculator Convert decimal odds into the implied win probability.
• 🎯Independent Events Probability Calculator For two independent events, get P(A and B), P(A or B) and P(neither).
• 🎲Kelly Criterion Bet Size Calculator Find the optimal fraction of your bankroll to stake using the Kelly criterion, from your win probability and payoff odds.
• 🏔️Kurtosis Calculator Compute the population kurtosis and excess kurtosis of a data set, measuring how heavy-tailed the distribution is.
• 📈Logistic Distribution Calculator Computes the logistic distribution's probability density, cumulative probability, survival, mean and standard deviation for given location and scale.
• 🎰Lottery Combinations Calculator Count how many ways numbers can be drawn in a lottery and the odds of matching all of them for the jackpot.
• 🃏Mana Curve Calculator Calculates the average mana cost (mana curve) of a card deck from a comma-separated list of card costs, plus card count and total mana.
• 🔗Markov Chain N-Step Transition Calculator Computes the n-step transition matrix P^n for a 2×2 Markov chain by repeated matrix multiplication, plus the steady-state distribution.
• ⚛️Maxwell-Boltzmann Distribution Calculator Evaluates the Maxwell-Boltzmann speed probability density at a given speed and returns the most probable, mean, and RMS molecular speeds for a gas.
• 📊Mode of a Data Set Calculator Find the mode — the most frequent value — of a data set, its frequency and whether the data are multimodal.
• 🚪Monty Hall Probability Calculator For an N-door Monty Hall game where the host opens one losing door, compare your win probability if you switch versus stay, and see the switching advantage.
• 🔀Multiset Permutations Calculator Arrangements with repeated items: n! / (r1!·r2!·...).
• 🔻Negative Binomial Distribution Calculator Compute the probability of exactly k failures before the r-th success, plus the mean and variance of the negative binomial distribution.
• 🔡Number of Subsets Calculator Count the subsets of a set of n elements: total (2ⁿ), proper, non-empty and two-element subsets.
• 🎲Odds to Probability Converter Convert betting odds into an implied probability. Odds to Probability Converter gives you the result instantly from a simple input.
• 🧪One-Sample T-Test Calculator Compute the one-sample t-statistic and degrees of freedom to test whether a sample mean differs from a hypothesized population value: t = (x̄ - μ) / (s / √n).
• 🚩Outlier Detector (1.5 IQR) Detect outliers in a data set using the 1.5×IQR rule, showing the lower and upper fences and any values that fall outside them.
• 🎯Percentile Rank of a Score Calculator Find the percentile rank of a score within a data set using the count below plus half the ties.
• 🔀Permutations (nPr) Calculator Calculate nPr, the number of ordered arrangements (permutations) of r items chosen from a set of n distinct items. Enter n and r to get the result instantly.
• 📮Poisson Cumulative Probability Calculator Compute the cumulative Poisson probability P(X ≤ k) for a given rate λ, along with the exact probability at k and the mean.
• 📿Polya Enumeration Calculator Counts the number of distinct ways to color n positions arranged in a circle using k colors, treating rotations as identical, via Burnside's lemma with Euler's totient.
• 🧪Pooled Standard Deviation Calculator Combine the standard deviations of two samples into a pooled standard deviation and pooled variance.
• 🧮Power Set Calculator Calculate the number of subsets and proper subsets of an n-element set.
• 🎲Probability to Odds Converter Convert a probability into betting odds. Probability to Odds Converter gives you the result instantly from a simple input.
• 🏭Process Capability Index (Cp, Cpk) Calculator Calculate the process capability indices Cp and Cpk from the upper and lower spec limits, process mean and standard deviation. Core Six Sigma metrics for how well a process fits its tolerances.
• 📏Quartile Calculator Find the first, second and third quartiles (Q1, Q2, Q3) and the interquartile range of a data set.
• 🧮Relative Frequency Calculator Compute the relative frequency of a class as its count divided by the total, shown as a proportion and a percentage.